Course 2 Unit 1 Practice

Transcription

1 Course Unit 1 Practice Lesson Estimate each sum or difference to the nearest unit. $ $.35 $3.95. Find each sum or difference b b c d c e Make sense of problems and persevere in solving them. Liam needs to shop for school supplies. The prices for some school supplies are in the table below. School Supplies Item Cost Estimate Items Liam will Need Binder 5 for $15 Dividers $1.99 Filler paper $6.9 Book bag $37.9 Calculator (scientific) $1.0 Highlighter $.99 Index cards $ Jump drive $6.99 Pencils (box of 1) $1.9 Pens (box of 1) $1.69 Post it flags $5.9 Protractor $1.19 Ruler $.9 Water bottle $1.50 Total Cost of Liam s Items Estimate the cost of each item. b. Liam cannot spend more than $50 on school supplies. Choose items you think Liam will need for school. Stay within his budget. c. Find the total cost of the items you chose for Liam. Calculate his change, if any. 01 College Board. All rights reserved. 1 SpringBoard Course, Unit 1 Practice

2 . Critique the reasoning of others. Oriana said that the difference between 9.98 and 3.01 was Was she correct? If not, what error did she make? 5. Ethan bought a printer on sale for $59.99 and a jump drive for $6.99. The sales tax on the total was $5.36. Ethan gave the sales person four $0 bills. How much change did Ethan receive? A. $7.66 B. $13.0 C. $15.1 D. $18.59 Lesson 1-6. Find each product or quotient b c Seven people spent a total of $ on lunch. If they shared the cost equally, how much did each person pay? A. $9.35 B. $1.65 C. $.15 D. $ Make sense of problems. Shae makes $1.50 an hour. If she works 6.5 hours a day, after how many days will she have earned $500? 10. Jane bought 3 jeans for $3.79 each and 5 T-shirts for $1.95 each. She gave the cashier $180. How much change did Jane receive? Lesson Evaluate each expression. Write the answer as a mixed number or a fraction in simplest form d b e c f d Reason quantitatively. Without doing the computation, explain why 0.5 is not a reasonable answer for What is the actual product? e f g h

3 1. Attend to precision. Explain how you would divide a mixed number by a fraction. Lesson Express each mixed number as a decimal. Indicate whether the decimal is terminating or repeating b. 3 c John cut a ft long piece of lumber into shorter pieces to repair his deck. He cut three pieces each 3 ft long, and two pieces each 1 ft long. How much wood did he have left? A. 3 ft B. 1 ft C. 1 1 ft D. 3 ft 1. Model with mathematics. Draw a model to show What is the product? d e f Compare. Write,, 5, or b c d e Order the numbers from least to greatest..65, 3 5, 3,1 3, Brian has a chunk of cheese that weighs 5 lb. He wants to divide the chunk into smaller pieces that weigh 1 lb each. How many smaller pieces will he have? 3

4 19. Which fraction can be written as a terminating decimal? A B C D Reason quantitatively. Which is greater 0.67 or 0.67? Explain. Lesson Model mathematics. Write the addition problem shown by each model. b Find each sum b (1) c d. 5 1 (17) e (39) f g (63) h () i c j (18) d Construct a viable argument. Mr. Allen has $19 in his checking account. He wants to write a check for $169 to pay a bill. Is this a good idea? Why or why not? Use addition of integers in your explanation.. Attend to precision. Explain how to find the sum of without using a number line. 5. A scuba diver descended to an elevation of 50 feet, examined some coral, and then ascended 1 feet to observe a school of clownfish. At what elevation was the school of clownfish? A. feet B. 36 feet C. 6 feet D. 6 feet

5 Lesson - 6. Write the opposite of each integer. 9 b. (7) c. 15 d. 13 e Reason abstractly. Explain how you can use addition of integers to subtract integers. 8. Which expression shows 6 (7) as an addition problem? A. 6 1 (7) B C. 6 1 (7) D Subtract b. 1 (18) c. 9 3 d. 39 (17) e. 65 (9) f g. 88 h. 57 (3) i. 15 () j The difference between the temperature at 5 pm and midnight is 88F. Write an expression that could be used to represent this situation. Explain. Lesson What determines the sign of a product? What is the sign of the product of two negative integers? 3. Find each product. 1(8) b. 9 (7) c. (15) (3) d. 18 (6) e. 0 (8) f. (30) (10) ( 5) g. () 3 h. (5) (3) 3 i. (8 15) j. 16 (3) 33. Reason quantitatively. Simplify () 3 5. A. 0 B. 16 C. D Find the number that goes in the blank b c d. 3 () 5 60 e An airplane descends at a rate of 50 feet per minute. Write and evaluate an expression to show how far the plane will descend in 7 minutes. 5

6 Lesson Reason quantitatively. Which expression, when evaluated, gives the greatest number? A. 3 (5) B C. 15 (3) D Find each quotient Evaluate each expression. 3 [ (3)] b (5) c. 6? 1 (9) d. 7 1 () 7 e. [59 (17)] (6) b. 8 (6) c The low temperatures in Fairbanks, Alaska for 5 consecutive days were 1 F, 15 F, 7 F, 0 F, and 9 F. What was the average low temperature for the 5 days? d. 7 9 e f Reason quantitatively. Which two integers have a difference of and a quotient of 7? g h i Lesson Place a check mark in the box for any set for which the given number is a member. j. 5 5 Number Whole Number Integer Rational Number

7 . Give an example of each. a rational number that is an integer b. an integer that is not a whole number Lesson - 6. Model with mathematics. Write the sum shown by the arrows c. a rational number that is not an integer b Reason abstractly. Explain how you know that 0.38 is a rational number Add (11.9). Which statement is true? A. a rational number is always an integer B. an integer is always a whole number C. a rational number is always a whole number D. an integer is always a rational number b c d (19.5) 5. Three mice are competing in a race. Mouse A reaches the finish line in 5.65 seconds. Mouse B reaches the finish line in 5 5 seconds. Mouse C reaches the finish line in 5 3 seconds. List the mice in order from fastest to slowest. e f (.3) g h (5.7) 1 (36.8) i (50.75) j

8 8. Compare. Write,, 5, b c d e (7.) 9. Make sense of problems. Alex had $573.9 in his checking account. He wrote checks for $65.90 and $58.5. He then deposited $135 into his account. Which expression can you use to find the amount that remained in Alex s account? A (65.90) B (65.90) 1 (58.5) C (65.90) (135) D (58.5) Lesson Model with mathematics. Draw arrows on the number line to show the subtraction problem b Write each subtraction problem as an addition problem b c. 5.7 (1.3) d The deck from which a diver descended e was 3 1 feet above sea level. A diver descended 38 3 feet from the deck into the se What depth did the diver reach? 8

9 53. Find the value of each expression b c d A submersible at the Oceanographic Institution dove to a depth of 3,810 meters below sea level. It then dove an additional 690 meters. How many meters below sea level was the submersible after the second dive? A. 3,10 meters B. 3,780 meters C.,30 meters D.,500 meters e f g h i (6.05) j Hali borrowed $5.75 from her brother and $11.15 from her sister. How much money does Hali owe? Lesson Without calculating, write the sign of the result of each operation b c d b. Hali s aunt gave her $5 for her birthday. How much money will Hali have after she pays what she owes? e c. Will Hali be able to buy a book for $1.79? Explain. 9

10 57. Find each product or quotient. 60 (50) b c. (0.080) d. (0.3)(0.) e. 1 (50) f g h i. (0.3) 3 j. 100 (0.05) 58. At noon, the temperature on Mt. Washington in Maine was 08C. The temperature dropped an average of 0.58C an hour. At what time would the temperature be.68c? 59. Make sense of problems. The monthly average low temperatures for Prospect Creek, Alaska from January to June are shown in the table below. Prospect Creek, Alaska Average Low Temperature ºC Month January February March April May June Temperature What was the average monthly low temperature for these six months rounded to the nearest tenth of a degree? A. 08C B C C C D. 7.8C 60. As an aircraft rises, the temperature falls. You can determine the change in temperature between the ground and a the altitude the aircraft has reached by using the formula c What is the change of temperature (c), 000 in degrees Fahrenheit, at an altitude (a) of 1500 ft? 10